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Finding the Fourth Proportional to 498,706.93, 747,718.64 and 178,851.95

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Solution

The fourth proportional to 498,706.93, 747,718.64 and 178,851.95 is: 268,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,706.93 : 747,718.64 = 178,851.95 : x
  2. Step 2: Convert to fraction form
    498,706.93/747,718.64 = 178,851.95/x
  3. Step 3: Cross multiply
    498,706.93x = 747,718.64 × 178,851.95
  4. Step 4: Simplify right side
    498,706.93x = 133,730,936,663.18
  5. Step 5: Solve for x
    x = 133,730,936,663.18/498,706.93
  6. Step 6: Final answer
    x = 268,155.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.